In [1]}, [2]}, the authors use a domain decomposition based parallel algorithm to establish that the presence of spatio-temporal wave-fronts are responsible for creating transitional and turbulent flows. The 3D field has been computed using a compact scheme for the DNS performed on a staggered grid. The use of compact schemes is desirable for DNS and LES as these yield high accuracy while using fewer points, as compared to non-compact scheme based methods for non-periodic problems. The implicit nature of compact schemes enables a wider scale of resolution as compared to explicit schemes. Accurate numerical simulations of the Navier-Stokes
equation require resolution of spatial and temporal scales of flow as viewed in the spectral plane, rather than merely inspecting the order of the schemes by Taylor series expansion [3]}, [4]}, [5]}, [6]}. The compact schemes provide near-spectral resolution for the first spatial derivative, which is noted in the literature, obtained by full domain analysis using global spectral analysis (GSA) [7]}, [6]}.
